Abstract:

In this paper, we consider the long-term asymptotic behavior of a class of finite-dimensional optimal control problems with exponential weights. The main method of this article is to decouple the Hamilton system of optimal control problems, based on the Pontryagin maximum principle and the algebraic Riccati theory. The exponential turnpike properties of optimal trajectory and optimal control are established under two different conditions.

Key words: Optimal controls, Turnpike property, Pontryagin maximum principle